kolineární

Kolineární refers to a property in geometry where two or more points lie on the same straight line. In a two-dimensional plane, three points A, B, and C are colinear if they can all be found on a single line. This can be checked by examining the slopes between pairs of points. If the slope between A and B is equal to the slope between B and C (and also between A and C), then the points are colinear. Mathematically, if point A is (x1, y1), point B is (x2, y2), and point C is (x3, y3), they are colinear if (y2 - y1) / (x2 - x1) = (y3 - y2) / (x3 - x2). Special cases arise if the line is vertical, where the x-coordinates would be the same for all points. In three-dimensional space, the concept extends to points lying on the same line in 3D. Vectors can also be used to determine colinearity. Two vectors are colinear if one is a scalar multiple of the other. For three points, if the vector AB is a scalar multiple of the vector BC, then points A, B, and C are colinear.